I agree with all that Dr. Unne said. You MUST have comments for others to be able to follow what you are doing. My professors were always sticklers on comments and I'm very grateful for it now. I write Java for a living and there is nothing worse then having to wade through someone else's code that doesn't have comments and try to figure out what is going on. Some good advice that one of my profs once gave me is that for every line of code you write you should write a comment. Now that might be a tad overkill, but you get the idea. Your code shoudl have enough comments so that it reads like a book so that one doesn't have to actually read the logic to understand what's happening. This makes it much easier for others to navigate your code if they have to go in and fix code later or find a certain spot in the code for reference.

The only other thing that I can see is you should grab the player names with-in the same method. The only reason you need to break it out into two methods is if you have a lot of logic in each for maintainability's sake or you would be calling each of the name methods from several different places. Also, you only need to return the names if you need the resulting String in the code that calls the method. As you're storing them as members of the class you don't have to return them.
<div style="margin:20px; margin-top:5px">
<div class="smallfont" style="margin-bottom:2px">Code:</div>
<div class="alt2" style="color: #000000; background-color: #ffffff; margin:0px; padding:5px; border:1px inset; width:500px; height:110px; overflow:auto"><code>public void getNames()
{
System.out.print("Player one's name: ");
player1 = console.readWord();
System.out.print("Player two's name: ");
player2 = console.readWord();
}</code></pre>
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